Functional representation of the Ablowitz-Ladik hierarchy

DOI10.1088/0305-4470/31/3/018zbMath0932.35185arXivsolv-int/9707008OpenAlexW2046439003MaRDI QIDQ4703694

Vadim E. Vekslerchik

Publication date: 30 November 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9707008

zbMATH Keywords

Ablowitz-Ladik hierarchyKadomtsev-Petviashvili hierarchyfinite system of difference-functional equationsinverse-scattering approach

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Partial functional-differential equations (35R10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (12)

The AKNS Hierarchy Revisited: A Vertex Operator Approach and its Lie-Algebraic Structure ⋮ The closeness of localized structures between the Ablowitz–Ladik lattice and discrete nonlinear Schrödinger equations: Generalized AL and DNLS systems ⋮ Functional Representation of the AblowitzLadik Hierarchy. II ⋮ The closeness of the Ablowitz-Ladik lattice to the discrete nonlinear Schrödinger equation ⋮ On the integrable hierarchy for the resolved conifold ⋮ New integrable differential-difference and fractional nonlinear dynamical systems and their algebro-analytical properties ⋮ Nonlocal reductions of the Ablowitz-Ladik equation ⋮ Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz–Ladik Hierarchy ⋮ Trace formulas and a Borg‐type theorem for CMV operators with matrix‐valued coefficients ⋮ Explicit solutions for a nonlinear model on the honeycomb and triangular lattices ⋮ On equivariant Gromov-Witten invariants of resolved conifold with diagonal and anti-diagonal actions ⋮ Grothendieck’s dessins d’enfants in a web of dualities. III

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